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An Asymptotic Study¶of the Debonding of Thin Films |
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| Authors: | Kaushik Bhattacharya Irene Fonseca Gilles Francfort |
| Institution: | Division of Engineering and Applied Science?California Institute of Technology?Pasadena, CA 91125, USA?e-mail: bhatta@caltech.edu, US Department of Mathematical Sciences?Carnegie Mellon University?Pittsburgh, PA 15213, USA?e-mail: fonseca@andrew.cmu.edu, US L.P.M.T.M.?Université Paris-Nord?93430 Villetaneuse, France?e-mail: francfor@lpmtm.univ-paris13.fr, FR |
| Abstract: | We examine the asymptotic behavior of a bilayer thin film using the notion of Γ-convergence. We allow for debonding at the interface, but penalize it using an interfacial energy; thus the functional we consider consists of the elastic energy of the two layers and the interfacial energy with penalized debonding. We show that the asymptotic theory or Γ-limit depends on the particular form of the interfacial energy, and derive detailed results for both the cohesive and the brittle interface. |
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